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Simplifying 10w + 17 = 6w + 29 Reorder the terms: 17 + 10w = 6w + 29 Reorder the terms: 17 + 10w = 29 + 6w Solving 17 + 10w = 29 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 17 + 10w + -6w = 29 + 6w + -6w Combine like terms: 10w + -6w = 4w 17 + 4w = 29 + 6w + -6w Combine like terms: 6w + -6w = 0 17 + 4w = 29 + 0 17 + 4w = 29 Add '-17' to each side of the equation. 17 + -17 + 4w = 29 + -17 Combine like terms: 17 + -17 = 0 0 + 4w = 29 + -17 4w = 29 + -17 Combine like terms: 29 + -17 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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